1 . 已知某锥体的三视图(单位:cm )如图所示,则该锥体的体积为
![](https://img.xkw.com/dksih/QBM/2017/3/7/1638675288776704/1645836541706240/STEM/d39a3610191b49e48298ada8c6b66c01.png?resizew=230)
![](https://img.xkw.com/dksih/QBM/2017/3/7/1638675288776704/1645836541706240/STEM/d39a3610191b49e48298ada8c6b66c01.png?resizew=230)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 若三棱锥的三视图如图所示,则该三棱锥的体积为( ).
![](https://img.xkw.com/dksih/QBM/2018/3/13/1901144369192960/1902144267812864/STEM/4d6e4827c8c74b89afc70d0a1f94d8a5.png?resizew=148)
![](https://img.xkw.com/dksih/QBM/2018/3/13/1901144369192960/1902144267812864/STEM/4d6e4827c8c74b89afc70d0a1f94d8a5.png?resizew=148)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 一个透明的球形装饰品内放置了两个公共底面的圆锥,且这两个圆锥的顶点和底面圆周都在这个球面上,如图,已知圆锥底面面积是这个球面面积的
,则较大圆锥与较小圆锥的体积之比为___________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56b32a0aea3308e1678a290ccb84b741.png)
![](https://img.xkw.com/dksih/QBM/2016/5/20/1572643202678784/1572643208290304/STEM/5da04699b0f5420d80b8cbd4f5e389f4.png?resizew=133)
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解题方法
4 . 某组合体的三视图如图所示,其中正视图和侧视图都由正方形和等腰直角三角形组成,正方形的边长为1,则该多面体的体积是
![](https://img.xkw.com/dksih/QBM/2017/8/25/1759940011573248/1760454095683584/STEM/11c3f2a210554ecf8d9d6563f055f0f0.png?resizew=112)
![](https://img.xkw.com/dksih/QBM/2017/8/25/1759940011573248/1760454095683584/STEM/11c3f2a210554ecf8d9d6563f055f0f0.png?resizew=112)
A.2 | B.![]() | C.![]() | D.![]() |
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2017-08-26更新
|
222次组卷
|
2卷引用:广东省深圳市南山区2018届高三上学期入学摸底考试(文)数学试题
5 . 多面体
的底面
为矩形,其中(主)视图和侧(左)视图如图所示,其中正(主)视图为等腰梯形,侧(左)视图为等腰三角形,则该多面体的体积为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/2/004878ff-8e3a-456e-a3b9-13f8e789bebc.png?resizew=475)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8fd164fd48d5cf4476a88fd7f5c28a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/2/004878ff-8e3a-456e-a3b9-13f8e789bebc.png?resizew=475)
A.![]() | B.![]() | C.![]() | D.![]() |
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2016-12-03更新
|
771次组卷
|
3卷引用:2015届广东省惠州市高三4月模拟理科数学试卷
6 .
如图所示的长方体
中,底面
是边长为
的正方形,
为
与
的交点,
,
是线段
的中点.
![](https://img.xkw.com/dksih/QBM/2012/9/4/1570996378566656/1570996383973376/STEM/298ec15684a241ea81b4bb711ecaee28.png)
(1)求证:
平面
;
(2)求三棱锥D1-ABC的体积.
如图所示的长方体
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8456cee87c4e22351affc28f3a73a0f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/908fdbef8613f4baaeb7524b84c07389.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cfbc0b5a8fbde804bd8425a4b76d207.png)
![](https://img.xkw.com/dksih/QBM/2012/9/4/1570996378566656/1570996383973376/STEM/298ec15684a241ea81b4bb711ecaee28.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f369bec2d5682bf6b8b317a08aff546.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fefd8229243bcbee5ac197740e6c66ab.png)
(2)求三棱锥D1-ABC的体积.
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解题方法
7 . 某几何体的三视图如图所示,则其体积为()
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/27/477e15a8-3583-40f9-bc96-27f3d327414c.png?resizew=168)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/27/477e15a8-3583-40f9-bc96-27f3d327414c.png?resizew=168)
A.![]() | B.![]() | C.![]() | D.![]() |
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8 . 已知一个几何体的主视图及左视图均是边长为4的正三角形,俯视图是直径为4的圆,则此几何体的体积为
![](https://img.xkw.com/dksih/QBM/2011/5/17/1570204967395328/1570204971999232/STEM/8b162916f64c48d6beaf711a47a4825c.png?resizew=203)
![](https://img.xkw.com/dksih/QBM/2011/5/17/1570204967395328/1570204971999232/STEM/8b162916f64c48d6beaf711a47a4825c.png?resizew=203)
A.![]() | B.![]() | C.![]() | D.![]() |
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